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An 80-Year-Old Math Problem Has Just Been Solved. You Might Not Like How We Got the Answer.
ChatGPT's breakthrough is not what it seems.
Artificial intelligence systems may be good at generating text, recognizing images, and even solving basic math problems—but when it comes to advanced mathematical reasoning, they are hitting a wall.
The math world is losing its mind over the new solution to an Erdős problem. This is what AI found, how we missed it—and why it matters.
But pure math is different from chess and Go in a fundamental way: Whereas the two board games are very large but ultimately constrained (or, as mathematicians would say, "finite") problems, there are ...
Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...
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